{"meta": {"date": "2026-07-08", "campaign_stage": "lbl3x_form phase3 FINAL-CLOSURE (extends FINAL4)", "object": "m18 = LBL3X master py17 (crossed light-by-light box, I(1,1,1,1,1,1), sector 938), on-curve 1/s+1/t=-3/8, frame M = A^s-(t^2/s^2)A^t (record oncurve_M_ALTB_patched)", "normalization": "e^{3*gammaE*eps}-stripped (eval_row21 conventions)", "word_form": "m18(s,eps) = sum_k eps^k m18^(k)(s); each layer a word list over the pinned alphabet with exact coefficients", "coeff_ring": "QQ + QQ*pi^2 + QQ*zeta3  (layers -3..-1; layer 0 ring extends by the boundary-constant ring, INTERIM)", "derivation": "layer-by-layer words-by-construction on the exact 41x41 on-curve connection: exact rational solution spaces (point-solve propose, flint RF zero-remainder certify), class-a reference rows + exact sigma-pairing at P*=-16/3; per-layer certificates CERT_LAYER_*.json", "no_fitted_coefficients": true, "boundary_pinning_register": ["layer -3: 2 reference-invisible homogeneous directions pinned to 0 (solved from V rows 17/37: O(1e-270) = V noise floor; independent row 38 at 272d + exact sigma gate)", "layer -2: same 2 directions, 0 at 271.7d", "layer -1: 1 row17-invisible direction per sector, total 0 at 271d; per-sector zero forced by bounded-height rationality", "NO oracle values anywhere; V = class-b recorded boundary (AMFlow-free Bessel chain, 300d); never-fit R5/RM_RAY/Rm8m4 strings NOT loaded (Phase-2 gate material)"], "provenance": ["oncurve_M_ALTB_patched.json (connection; campaign record, not distributed)", "{BOUNDARY_LEDGER,SIGMA_PAIRING,CLASS_A_BANK}.json (campaign records)", "qlib.py (exact ban-tower pole layers; campaign record)", "vacuum_vector_exact.json (V, 300d; campaign record)", "NEWLETTER.json (N5 definition; campaign record)"], "conventions": "d = 4-2eps; u = -3s^2/(3s+8); t = -8s/(3s+8); z=+1/u branch; sigma: s -> -8s/(3s+8), P* = -16/3", "status": "layer 0: rat-sector words COMPLETE + corner-data pinning + global V-row pin + BLOCK-TRANSPORT CLOSURE: the 3-dim mu residual is MEASURED-CLOSED from the block-13 interior towers at P=(-6,-24/5) (all three dims; D-rank 3; the crossing/word condition superseded to a surplus plane-membership gate, 42.8d), and the chi-twist pair (alpha,beta) is CLOSED-MEASURED-ZERO at the seed floor. CORNER-ANCHOR GATE RUN NON-CIRCULARLY: PASS at 41.5 digits vs the independent stripped V17. K3 sector + r17*N5 channel inherited record-exact.", "never_fit_strings_loaded": false}, "letters": {"s": "s", "w8": "3*s + 8", "N5": "quadrature letter, the NEWLETTER.json record: N5(s) = int_{-4}^{s} [A(x)varpi(x) + B(x)varpi'(x)^2/varpi(x)] dx, A = (640/(13*3^17))(s+16/3)(s^2+8s+64/3)/(s(s+8/3)^2), B = (80/(13*3^17)) s(s^4+20s^3+352/3 s^2+1024/3 s+4096/9)/((s+8/3)(s+16/3))", "dtau_1..6": "the six recorded Gamma_1(6) dtau-letters (dial-1/probe-iib dictionary) -- NOT NEEDED at layers -3..-1; enter at layer 0 through the K3-block homogeneous content", "Qint_j (j in {0,1,2,3,4,6,7,8,9,10})": "quadrature letters, intdual bank: Qint_j(s) = INT_0^s (yhat_j . S)(x) dx \u2014 second-kind kernels on the integer-sector dual directions (log-graded local solutions of the adjoint flow w' = -A0L^T w, dual-normalized yhat_j . v_i = delta exactly); defining data: INTWINDOW.json + INTDUALS_UNIT.json (Cinv); local expansions exact to O(s^8), extendable by the recorded recursion; kernels for j in {4,6,7,8,9,10} carry log s content (grade 1), j in {7,8,9,10} have s^{-2} leading poles", "Qtw_i (i=1,2)": "twisted Eichler-class quadrature letters: Qtw_i(s) = INT_0^s (what_i . S)(x) dx, what_i = the recorded normalized twisted duals (chisolve DUALS_UNIT); exponents in Z-3/2 (canonical primitives, CORNER_SCHEME branch rules)"}, "m18_words": {"-3": {"inherited": "WORDLIST_DRAFT.json (sha-pinned)", "value": "0"}, "-2": {"inherited": "WORDLIST_DRAFT.json (sha-pinned)", "value": "0"}, "-1": {"inherited": "WORDLIST_DRAFT.json (sha-pinned)", "value": "2*zeta3 (constant in s; function-level)"}, "0": {"status": "RAT-SECTOR WORDS COMPLETE (12-word VP, 3-prime); HOMOGENEOUS PINNING DONE to the corner-data limit (PINNING_CERTS.json); named residual freedom below; corner gate/c_q remain global-leg material", "rat_sector_particular": {"words": [{"w": "v_0 * Qint_0", "mu": "1", "r": "1"}, {"w": "v_1 * Qint_1", "mu": "1", "r": "1"}, {"w": "v_2 * Qint_2", "mu": "1", "r": "1"}, {"w": "v_3 * Qint_3", "mu": "1", "r": "1"}, {"w": "v_4 * Qint_4", "mu": "1", "r": "1"}, {"w": "v_6 * Qint_6", "mu": "1", "r": "1"}, {"w": "v_7 * Qint_7", "mu": "1", "r": "1"}, {"w": "v_8 * Qint_8", "mu": "1", "r": "1"}, {"w": "v_9 * Qint_9", "mu": "1", "r": "1"}, {"w": "v_10 * Qint_10", "mu": "1", "r": "1"}, {"w": "h_1 * Qtw_1", "mu": "1", "r": "1"}, {"w": "h_2 * Qtw_2", "mu": "1", "r": "1"}], "certificate": "the operator image of this sum reproduces the rat source S EXACTLY, coefficient-wise at every series order (POS sum rule, 0 bad coefficients, primes 2147483629 / 2147483587 / 2147483647); closing coefficients are EXACTLY 1 (unique modulo the in-class kernel; SOLVE_p{0,1,2}_N90.json, residual 0, POS/NEG solve controls PASS)", "minimality": "drop-one sweep: every one of the 12 words is REQUIRED modulo the full recorded ansatz space (533x4 rational L-graded + 84 leak + 42 twisted spec cols); the 13th VP word vanishes identically (yhat_5 . S == 0: source blind to the unique purely-rational dual direction)"}, "superseded_from_draft": {"rat_sector": "draft line \"corank EXACTLY 1 ... single N5-class quadrature obstruction\" -> CLOSED by the 12-word VP particular above (obstruction was DISTRIBUTED, not a single direction; CERT_RAT_SECTOR inference refined)", "pi2_z3_sectors": "unchanged from draft (exact particulars exist)"}, "interim_open": ["row-17 SYMBOLIC word tower (canonical quadratures through the 23-core coupling): still OPEN as words; the EVALUATOR is closed (phase3 pinned complex seed at P + exact kernel/sources, certified by 67-71 surplus gates at ~145d + reality/sigma cross-legs) \u2014 see evaluator_register", "Euler function-level gate: needs m34/m35 layer-0 WORD FORMS + off-curve sA^s+tA^t row-17 contraction (response-word leg); fires with zero freedom on word arrival", "N5-channel coefficient (draft item, unchanged)", "alpha/beta structural derivation (chi-pair named conditions): content MEASURED ZERO here; the theta-system unit (chisolve machinery) turns the measurement into a derivation", "depth: all mu-dependent layer-0 constants are numeric at the ~41-46d seed floor; upgrading the block-13 interior towers (recorded closed forms exist for the S/T-banana+tadpole constants; 13 masters ALL classified GPL with recorded word lists) lifts the gate depth without new structure"], "homogeneous_register": {"block_dirs_0_3": "0 EXACT, all sectors (corner power-finiteness; pole-matrix rank 4)", "block_twisted_pair": "DECOUPLED-OPEN (alpha,beta): chi-twist local pair; zero effect on every corner quantity (no-resonance certificate); pinning class = global twisted-pair connection data", "block_dirs_4_6_c_tot_300d": {"4": "-7.286487705669447036958175731442752127005804705221872400701547087744299218644992967954993938402518985181557241048112680505319567704822303337960040473656280400368053896218730562964748936861540061582997176580083624928376354046945140271666153716819085951379070005508011671981316134243849671345475090073258641509272", "5": "-15.46449965421237063263949191081934798765649168254552660042107303962151266021268065674361166033490280016163291548019938440282334377250991757009336752948685891722144994449369878923565871814586306400140836181973421284432985138377793271498459745031107368472597702440427884586949403108233510359828233900724436306487", "6": "-1.276203189871475609959484923885502173180873243519377991740189311035108189713427517022714570355842694450561452071809083412859587711455887269078056287616779593098344981471930229368791059250327590363189357031763108472580875142117567015266561691290509671438992819959106161782178471409911653733790165364949586224198"}, "block_dirs_7_10": "c7/c8 pinned in canonical gauge (values in U3D_PINNING.json, gauge-noted); c9/c10 GENUINELY UNPINNED by all corner data (named: corner-vanishing rational block kernels; pinning class = interior data / sigma-pairing / global response)", "upper_kernel": "19-dim corner-block span; 13 combos pinned (exact rank); free: the named 10 combos incl. the e17 line (m18 response constant), 4 twist-row lines (c_q sector), pure-L lines at excluded rows", "validation": "block suite 10 rows at 304.9-306.0d + upper suite 15 rows at 273.1-309.4d + 208 pole rows >=336d + HOM 4/4"}, "row17_contraction": {"corner_window": "EXACT (CORNER_EXACT.json: 10 tag responses + 19-dim kernel span, CRT + 2-fresh-prime verified); Reg0(m18^(0)) determined part 16178.534... in canonical gauge modulo the named 5-dim freedom", "function_form": "OPEN \u2014 the core response word tower (canonical quadratures of the 12 block words through the 23-core coupling) is the next leg; the corner-side interface is fully recorded"}, "derived_constants_new": {"row39_eps0_corner": {"value": "23.31491880333526788388644327199405899026198221099557278921471631980558642194190941636514659030236862049875443153282461766013021274050661896396680607931623060310709602625947383700023445723474272003213955859125141732196202654352229440525834512422154832240669748086324537110340908996822666540417407777389072947175", "freedom": "NONE (fully determined)", "depth": "~270d (V-noise limited)", "provenance": "pinned corner construction; V rows {13,16,18,21,24-33 zeros,...} class-b; NO V row 39 exists \u2014 genuinely new (ledger class-c row, 7th of 8)"}, "row40_eps0_corner": {"value": "0 (measured 1.77e-304)", "freedom": "NONE", "provenance": "same; closes the 8th of 8 ledger class-c corner constants"}, "row39_L1_corner": "0 at noise floor (3.6e-271)"}, "global_pin_register": {"provenance": "G2_PIN.json (this dir), exact-Q coefficients from CRT-verified CORNER_EXACT, deficits = class-b 300d V rows; V17 NEVER used; no fits", "structural_L_kills": {"killed": ["lambda_3", "lambda_7", "lambda_9"], "argument": "V-tower existence (finite corner limit) at rows 17/34/35/37/38 => zero L^g s^0 content; class-b structural, same class as accepted P1 power-finiteness", "surplus_kill_routes": {"3": [["17", "g1,n0", "1"], ["38", "g1,n0", "1/2"]], "7": [["34", "g1,n0", "1"], ["35", "g1,n0", "1"]], "9": [["37", "g1,n0", "1"]]}, "surplus_L_gates_determined_content": [{"row": "17", "coord": "g2,n0", "value": "-1.811739546544891894209057861094369911389958418877265443547821567196047159038037233557245307526628711607267509730548420076530497863038030007019034494018955628820681029854740085814949012433830424417570899431095845691373913353581970403748857316563419626704542536176283185288242205537233298336855036011797629449522e-271", "verdict": "PASS at V floor"}, {"row": "38", "coord": "g1,n0", "value": "-1.811739546544891894209057861094369911389958418877265443547821567196047159038037233557245307526628711607267509730548420076530497863038030007019034494018955628820681029854740085814949012433830424417570899431095845691373913353581970403748857316563419626704542536176283185288242205537233298336855036011797629449522e-271", "verdict": "PASS at V floor"}, {"row": "38", "coord": "g2,n0", "value": "-9.058697732724459471045289305471849556949792094386327217739107835980235795190186167786226537633143558036337548652742100382652489315190150035095172470094778144103405149273700429074745062169152122087854497155479228456869566767909852018744286582817098133522712680881415926441211027686166491684275180058988147247608e-272", "verdict": "PASS at V floor"}, {"row": "39", "coord": "g1,n0", "value": "3.623479093089783788418115722188739822779916837754530887095643134392094318076074467114490615053257423214535019461096840153060995726076060014038068988037911257641362059709480171629898024867660848835141798862191691382747826707163940807497714633126839253409085072352566370576484411074466596673710072023595258899043e-271", "verdict": "PASS at V floor"}]}, "V_row_pin": {"rows_used": ["34", "35", "37", "38"], "exact_rank": 4, "pivots": [["c7", "c9"], ["c7", "c8", "c10"], ["k3"], ["c7", "c8", "k10"]], "residual_null_exact": [["-2525797223557105226595912756158557365/322364206603568068736684599381206299696", "-132604627559671662168895651213549170519/322364206603568068736684599381206299696", "-194701847785663270226087325988048208523/161182103301784034368342299690603149848", "-4227341485048201400187480960596007167731/7736740958485633649680430385148951192704", "1", "0", "0"], ["1432091687410686510446200556463086805/40295525825446008592085574922650787462", "142236327239946027646594481801530605287/80591051650892017184171149845301574924", "90755366284691240273319018042160984407/20147762912723004296042787461325393731", "6796999597728984115157736485783382865357/2901277859432112618630161394430856697264", "0", "1", "0"], ["0", "1/8", "-2", "1/8", "0", "0", "1"]], "residual_null_names": [[["c7", "c9"], ["c7", "c8", "c10"], ["k3"], ["c7", "c8", "k10"], ["c7", "k12"]], [["c7", "c9"], ["c7", "c8", "c10"], ["k3"], ["c7", "c8", "k10"], ["k13"]], [["c7", "c8", "c10"], ["k3"], ["c7", "c8", "k10"], ["k17"]]], "lambda_star_canonical_gauge_310d": {"c7+c9": "23.7264330151258613122526677696497002209454317408633185570046484839364258236465698470770585390502072977828441659452104244288571661072423176616133725435104358147437479779474536873452175027032330032751427296423249603118401301179113834117854175658010289426213550848248884396329385151682375956901671065578340660001", "c7+c8+c10": "-13.82402347623876190389444964198605546110111183890583731180313553897655716175373374186362571843058345651761240957778076895484259131309154152734884291080677721357987380721979216772815234587496234775658055382085917466228201944967498947117323525596489275606380097357483617880572944115805232414970809407876420081365", "k3": "0.8525650649700885909712475224800022839326933738730344068862324842434086490417224853664890316894037777844201187470363708910529267206829930120504761953799888972348685024656892180946362903363516046569689738482168443436132395609584884203097532736444578819670668214440776677567187725970147380203384247578027387590273", "c7+c8+k10": "1.578338372268930017678928409573418894637988441243016676761182910650259683297375323251160772665105637734593505738716865927461068205303743765043629884714106568821186424525042278681265113686329734010398551503791992486367454223058187671068203825299327447803177554488306497105512493159418738808641755310282047068175", "c7+k12": "0.0", "k13": "0.0", "k17": "0.0"}, "gauge_note": "lambda* are mu=0 representatives on the exact residual null \u2014 NOT invariants; invariant content = the affine family lambda* + N mu"}, "row17_gate_interface": {"formula": "Reg0(m18^(0)) = gate_mu0 + sum_i B_i mu_i over the exact residual null", "gate_mu0_420dps": "4.898064507507383111297775479959561683686154040763253619700440455731280845927389026949286823372085276619124243689245388323035174442341960269545108486440913535620105747821482303810519112732982548800872946110055594141774854690393459588482474960836077667770747780088248146751458974521149625431818374855927400373741", "B_exact": ["-1012817229893497929699625574995694497521/322364206603568068736684599381206299696", "538601199171358898707579286516036232729/40295525825446008592085574922650787462", "-2"], "required_B_dot_mu_DERIVED_FROM_V17_diagnostic_only": "-10.95223236609760285066717504912101047849926940276683602335255427022960261846489172572805854117647104688516104672897418457442889263828530768090860481814534735042784785141565372148017312777022985889108599007272455549864415379792277126812621947872859959699169878752274073432047784560411843720249871152702050010985", "stripped_V17_target": "-6.05416785859021973936939956916144879481311536200358240365211381449832177253750269877877171780438577026603680303972879625139371819594334741136349633170443381480774210359417141766965401503724731009021304396266896135686929910752931167964374451789252192922095100743449258756901887108296881177068033667109309973611"}, "e17_status": "DEMOTED: k3 (the e17-line) is a PIVOT of the V-row system \u2014 e17 is V38-slaved given the 3 residual dirs (was: independent 5-dim-freedom member)", "residual_pinning_classes": {"null dirs (3, EXACT vectors below)": "the V-row system is RANK-DEFICIENT on these \u2014 named finding", "c9-line": "block-13 interior towers at P=(-6,-24/5) (recorded 65d class-b, ledger provenance) via block transport; c9 multiplies an exact rational block kernel (regular at all loci) \u2014 corner-invisible EXACT", "c10-line": "same as c9", "k10/k12-mix": "sigma-odd crossing (window-level C41 on-curve crossing equations at the corner) or the canonical response words", "e17 (k3-line)": "SLAVED to V38 given the 3 residual dirs: lambda_2 is a PIVOT of the V-row system (status upgrade: e17 is no longer an independent unknown)", "alpha,beta (chi-twist pair)": "EXACTLY decoupled from every corner quantity (recorded no-resonance certificate) => NO V row can ever pin them \u2014 rank-deficiency here is EXACT and permanent for corner data; pinned by the 2 chi-pair global conditions (spine analyticity at s=-8/5 + threshold/infinity monodromy matching; CHI_PERIODS recorded >=200d ready)"}, "alpha_beta": "unchanged DECOUPLED-OPEN (exact): no V row can ever pin the chi-twist pair; 2 named chi-pair global conditions (CHI_PERIODS recorded >=200d ready)", "c_q": "still gated on the response words \u2014 SHARPENED: the mu_1 (k13-line, rows 34/35) and mu_2 (k17-line, row 37) residual dirs ARE the twist-row channels; the V-row pin consumed V34/35/37/38 as boundary data, so c_q separation (in_r vs c_q*H_r) requires the word-level in_r(0) exactly as CQ_STATUS proved; free overdetermination gates on arrival: rows {37,38} vs {34} (2 gates) + H34(0)==H35(0) inherited", "euler_gate": "NOT RUN \u2014 requires m34/m35 layer-0 words (c_q sector) + off-curve sA^s+tA^t row-17 contraction. G2 sharpening: the twist-row channels are EXACTLY the mu_1 (k13-line) and mu_2 (k17-line) residual dirs of the V-row pin; the function-level Euler gate and the c_q closure land together with the response-word leg."}, "transport_pin_register": {"provenance": "BLOCK_PIN.json + GATES_T3T6.json (this dir): towers = the recorded block13 class-b boundary (assembly ledger provenance, RAW convention MEASURED T1A), transported on the exact rational on-curve kernel (vendored row21_data, READ-ONLY), +i detour; windows = exact-Q extensions of the recorded BLOCKWIN/htw stacks, recursion-crosschecked EXACT", "mu_measured": {"mu0_k12_dressed": "13.8863155638173923804280632015394926503299160698690475266849770939073862589400004576766428788729588141769170456046663852266359977516", "mu1_k13_line": "2.53335593842143189197108757541419214359305226523901954463732552902362702882406324015977997153398372895324479205674115589499810635638", "mu2_k17_line": "0.592585028873328944592660625635562214521557446371920901976643694261017787835564741024815943678250515267338234355773981677239290124875", "two_precision_digits": 51.0, "plane_membership_gate_digits": 42.8, "depth": "seed eps^0 floor ~41-46d (T1A measured per-layer alias); NOT the blanket 65d ledger label"}, "c7_c10_absolute": {"c7": "-8.14516531906262793682248406071077223145723528883978631009937556430543521334820287816697142208792038270637770108163917484916617699821", "c8": "10.5808938762907033960313073891069763444639172838940778826973979318369915772589619809588079042887374581184116363524921689792495294101", "c9": "23.7076653190626279368224840607107722314572351382215096046450796819495040310701038789084269659165029428372882753843070720195973360857", "c10": "-14.9909340493895046132378095333515685285492452178479216875801719809902377630426866327572270494395584503186214662903052295624150710998"}, "alpha_beta": {"alpha_bound": "|alpha| <= 1.5e-41", "beta_bound": "|beta| <= 2.2e-44", "verdict": "CLOSED-MEASURED-ZERO at the transported seed floor (INTERIM as a structural statement: the two named chi-pair global conditions remain the derivation route; they are now verification targets)"}, "surplus_gates": {"tower_rows_20": {"-1/4:r0": 44.3, "-1/4:r1": 44.7, "-1/4:r2": 45.0, "-1/4:r3": 45.7, "-1/4:r4": 45.0, "-1/4:r5": 44.6, "-1/4:r8": 44.8, "-1/4:r9": 44.8, "-1/4:r10": 45.2, "-1/4:r11": 44.8, "-1/4:r12": 44.6, "-1/8:r0": 44.5, "-1/8:r1": 44.6, "-1/8:r2": 44.9, "-1/8:r3": 45.7, "-1/8:r6": 45.6, "-1/8:r7": 45.0, "-1/8:r8": 44.8, "-1/8:r9": 44.8, "-1/8:r12": 44.6}, "worst_digits": 44.3, "negative_control": {"perturbation": "seed eps^0 x (1+pi*1e-20*(i+1)) per row, full re-transport", "surplus_worst_digits": 14.7, "pin_shift_rel": "2.69e-15", "verdict": "LOUD-PASS"}}, "corner_reference_gate": {"verdict": "PASS", "digits": 41.5, "Reg0_constructed": "-6.05416785859021973936939956916144879481313505040589002410922644235398359300688651222221539655765492180097129797816131988566157227974", "non_circularity": "mu measured from the block-13 interior towers at P=(-6,-24/5) ONLY (T2b/T2c chain); V17 consumed nowhere upstream (G2 held it out; this unit loads it solely as the gate target)"}, "label": "MEASURED (no fits; linear pins + residual certificates; V17 gate-only; never-fit strings never loaded)"}, "twist_sector": {"status": "CLOSED-MEASURED-ZERO at the Q8b locus", "statement": "the physical eps^0 solution (stripped convention, +i0 Feynman branch) carries NO sqrt(Q8b) twist class: the loop defect around each measured UHP Q8b root is at the transport floor. c_q(root0) := coefficient of the C1A-normalized local 3/2-Frobenius solution H_alpha (q34=1, principal branch) in the local decomposition of the physical germ = 0 with |c_q| <= 7.20e-146 (main B544) / 6.81e-123 (second B448).", "roots_measured_directly": [0, 1, 2], "controls": {"planted_twist_pi_1p_i_1e-30_recovered_abs_err": 1.793044939262375e-158, "H_loop_defect_equals_minus_2H_rel": 1.4951555400884213e-145, "block13_w_defect_floor": [3.340643765778097e-162, 5.962274018402194e-163]}, "quotient_form": "T5 division formula on the companion quotient: the quotient class [m^(0)]_alpha = c_q [H_alpha] = 0; no H34(0) normalization is needed (consistent with the completion-leg refutations of any single-root H).", "certificates": "phase3/S6_LOOP_*.json, S6B_LOOP_*.json, S8_CONSISTENCY.json", "roots_by_deck_reality": "root3 = sigma-image of root1; all LHP conjugates by Schwarz reality (S8)"}, "in34_37_38_corner_values": {"status": "RETIRED by c_q = 0: V_r = in_r(0) exactly (r in {34,35,37,38}); the recorded 300d stripped V corner deficits ARE the in-class values; no twist correction exists at the corner.", "provenance": "c_q=0 (phase3 S6) + U1 dictionary (V==masters41[:39])"}, "evaluator_register": {"object": "m18^(0)(s) (and all 41 comps, eps^0 stripped, +i0 branch) via transport of the PINNED complex seed at P=(-6,-24/5) on the exact on-curve kernel with exact rational x {1,pi^2,zeta3} pole-layer sources", "seed": "SEED_TRUE_{main,second}.json \u2014 REAL parts: deep towers (dps280/dps245 verified stripped); IMAGINARY parts + comps 39/40: DERIVED by the sigma-crossing + Euclidean-reality pin (S4; 67 surplus gates worst 145.0d main / see S4_PIN_second)", "engine": "phase3/p3lib.py Step41/StepM (E2: exact match vs completion clib.Step27; E-seed gates 171-241d)", "new_constants": "m39(P), m40(P) eps^0 (y39/y40, S4_PIN) \u2014 no V rows exist", "defect_flags_measured": ["C41 sigma rows 37/38 eps^0 O(1) defect (quarantined; S4_PIN diag)", "TOWERS_Rm6R dps245 bank: eps^0 IMAGINARY parts defective (up to O(1)); dps280 Im independently certified to ~145d by the phase3 pin"]}, "value_bank_m8m4": {"point": "(-8,-4) (s=-8, on-curve, +i0 branch), LOO point s=-7", "files": "phase3/S7_VAL_{main,second}_p{1,2}.json (m18_at_m8[_raw], m18_at_m7[_raw]; full 41-comp vectors in BOTH conventions)", "never_fit_compared": "B8 final gate: PASS once conventions aligned \u2014 oracle bank is RAW; (stripped - 6 gamma zeta3) matched at 49.8d = oracle floor (suite B8_FINAL_GATE/B8B_IDENTIFY)", "convention_resolution": "S10_CONVENTION.json: proposed row-17 double-strip mechanism REFUTED by counterfactual (gates 145.0d -> -1.6d under the proposed seed fix; Phi17 sensitivity 2e2..7.5e5 per unit); recorded primary values are STRIPPED as declared; *_raw fields carry the oracle-side RAW convention via the exact e^{-3 gammaE eps} layer conversion at the point.", "values_are_real": "Im(m18^(0)) at both points is at the transport floor (4.3e-145 at s=-8): the eps^0 value is REAL on this ray in both conventions"}}}, "draft_sha256": "4501d5a56ff7bcae8bbba94aed4b04708fdc7199340c1b00bf15473e83ea00c2", "intdual_artifacts_sha256": {"INTWINDOW.json": "0e474cb6b12f755e32b2c1dcb7b0c8be1597aedfe5f42cf6525d6348629d8aef", "INTBASIS_UNIT.json": "858dffe5a4b891a8758bedc405f0e0005bbef264211ab00005e9b4d46561d244", "INTDUALS_UNIT.json": "7fe3b5d74656ff17396b0d73525220ffe2ee84cbf77f62e7a5e4d4de503a50c6", "WORDS_CORNER_EXACT.json": "fabb2a696f9c09b3eae67f9bd31d6d043312554371abe46ee66689db249b9c7d", "REG0_LEDGER.json": "db717824c63d1b593ab64e2f6e035c071c9041c50861adf8ee89908a9e13c3bd", "SOLVE_p0_N90.json": "0c53eb639233878a49993a39e3d34e1f7afe1e872029cc399e3c10f73a1fa366", "SOLVE_p1_N90.json": "79625bf7f3e43bd59cb51de227835dcdbb26a02f5f81e32f9501d1683761510a", "SOLVE_p2_N90.json": "43dd8de40a86d2dc31df1b4e53c78954cc01b87f17f059654e9cb54b0634f5ff", "VP_scan_p0_N50.json": "d5f956eb151248a94f403e3025e32a0e8a12316766cf99d22643231e72a274f5", "VP_scan_p1_N50.json": "7e07f3d1c903885847ae5cfc9fd51aa3f8e79f8a923292a5789bac5d0d90a518", "VP_confirm_p0_N90.json": "d6ae560fb6397e8c41c5c20832a6639240f3960dad5ca554ece9edfca258ceee", "VP_confirm_p1_N90.json": "e2741527544c93dd16cf0011f34784d741681d07cde301361152cd03c6bef2b4", "VP_confirm_p0_N130.json": "fe446384f3b60d471a58b15802ac2e2d68d10f043041a01173712ae7cd980a9a", "VP_confirm_p1_N130.json": "9285efb342bc647d693e818a0de2add996daab5fe20b56bdbda28e7323e02c71", "INTDUAL_RESULTS.json": "c13420c6be05213d8a83e3e50d685a8849cab34a0057d2fd50bd62b8ebb85a33"}, "label": "FINAL5: twist sector CLOSED-MEASURED-ZERO (c_q=0 at the Q8b locus); complex seed at P pinned (sigma+reality, no fits); evaluator closed; symbolic row-17 word tower remains OPEN (honest INTERIM); never-fit strings NOT loaded", "pinning_artifacts_sha256": {"U1_STRUCTURE.json": "c841650289b4797ae9df108bbb1e08edb6d66913631406c03ab854717e419cc2", "PINNING_BLOCK.json": "b27baadeb5bf649e1201805758b260c40e52067fdc4867d30ca442bc27089d04", "BLOCKWIN.json": "b6ad98eb0a35a8d9c5c270bec31d4b95549129a5e954735193c0f9fc8ab24b03", "OPDATA.json": "b68f5a7bb1944e045b843046bc18363b08808c168c39e84223244ebbb96c1cb3", "CORNER_EXACT.json": "1410ecbd2ffa87e8b3859fe4672970b4eef5399b124b0a82c07a3c81c36a375a", "U3D_PINNING.json": "8553a6dccb6cf95212651a302b04fe7a4ffeaceaedda6a71fc3ccee3f13df0ee", "WORDLIST_COMPLETE.json": "99099a6ca7a327925193f851b1e9d2afc27a805298a564b3f1e6be56188a6a66", "WORDS_CORNER_EXACT.json": "fabb2a696f9c09b3eae67f9bd31d6d043312554371abe46ee66689db249b9c7d", "REG0_LEDGER.json": "db717824c63d1b593ab64e2f6e035c071c9041c50861adf8ee89908a9e13c3bd"}, "global_artifacts_sha256": {"WORDLIST_FINAL2.json": "1d456e38a59d88c03ea0ab1279d29e104393324549a67904e402c89baceb1d0e", "G0_STRUCTURE.json": "0428010a1f793dbc0784f07b9eea4a66d568a5eefd0fde99888861f7de26eba4", "G1A_CORNER_EVAL.json": "452e1b72b72e3b1a12d20b0c7f12ab30daafc409d4ef0da3521d60eb73132f9e", "G1B_SCHEMEDIV.json": "d36398abe8c16f389595674555a8e011b16fc1019cd5f0cc9b1618c6144f494b", "G2_PIN.json": "2893a72e4f18569cf5c3d5d34bc6ce9f9abe9dbb0a7568e75f44f1a1ef9acf92", "G5_EULER.json": "f1c70d17c6036a7d476787e4bb7b61ff4143933c715c06028a3c0edba5eb965c"}, "final3_sha256": "fc134d2d31e3fc2a3ef85a8f780684524a32d8e80cb142fcc982b12d38fcea73", "final4_sha256": "47df431ce56c534ad3735d3d052a53c25c778fb01d9572d5c75fb3ab230d86f3"}